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Finding the Fourth Proportional to 357,896.40, 493,897.92 and 204,936.96

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Solution

The fourth proportional to 357,896.40, 493,897.92 and 204,936.96 is: 282,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896.40 : 493,897.92 = 204,936.96 : x
  2. Step 2: Convert to fraction form
    357,896.40/493,897.92 = 204,936.96/x
  3. Step 3: Cross multiply
    357,896.40x = 493,897.92 × 204,936.96
  4. Step 4: Simplify right side
    357,896.40x = 101,217,938,275.12
  5. Step 5: Solve for x
    x = 101,217,938,275.12/357,896.40
  6. Step 6: Final answer
    x = 282,813.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.